Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loadings

被引：289

作者：

Ma, LS ^{[1
]}

Wang, TJ ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Dept Engn Mech, Xian 710049, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2003年 / 40卷 / 13-14期

基金：

中国国家自然科学基金;

关键词：

FGM; nonlinear bending; buckling; post-buckling; thermal and mechanical loading; circular plate; shooting method;

D O I：

10.1016/S0020-7683(03)00118-5

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Based on the classical nonlinear von Karman plate theory, axisymmetric large deflection bending of a functionally graded circular plate is investigated under mechanical, thermal and combined thermal-mechanical loadings, respectively, and axisymmetric thermal post-buckling behavior of a functionally graded circular plate is also investigated. The mechanical and thermal properties of functionally graded material (FGM) are assumed to vary continuously through the thickness of the plate, and obey a simple power law of the volume fraction of the constituents. Governing equations for the problem are derived, and then a shooting method is employed to numerically solve the equations. Effects of material constant n and boundary conditions on the temperature distribution, nonlinear bending, critical buckling temperature and thermal post-buckling behavior of the FGM plate are discussed in details. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：3311 / 3330

页数：20

共 26 条

[1] Analysis of out-of-plane displacement and stress field in a piezocomposite plate with functionally graded microstructure [J].

Almajid, A ;

Taya, M ;

Hudnut, S .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2001, 38 (19) :3377-3391

[2]

[Anonymous], COMPOS MAT TECHNOL

[3] Three-dimensional thermoelastic deformations of a functionally graded elliptic plate [J].

Cheng, ZQ ;

Batra, RC .

COMPOSITES PART B-ENGINEERING, 2000, 31 (02) :97-106

[4] Nonlinear bending of inhomogeneous plates [J].

Cheng, ZQ .

ENGINEERING STRUCTURES, 2001, 23 (10) :1359-1363

[5] Buckling analysis of functionally graded plates subjected to uniaxial loading [J].

Feldman, E ;

Aboudi, J .

COMPOSITE STRUCTURES, 1997, 38 (1-4) :29-36

[6] The elastic response of functionally graded cylindrical shells to low-velocity impact [J].

Gong, SW ;

Lam, KY ;

Reddy, JN .

INTERNATIONAL JOURNAL OF IMPACT ENGINEERING, 1999, 22 (04) :397-417

[7]

Huang, 1987, COMPOS STRUCT, V4, P424, DOI DOI 10.1007/978-94-009-3455-9_33

[8] Thermal buckling of functionally graded plates based on higher order theory [J].

Javaheri, R ;

Eslami, MR .

JOURNAL OF THERMAL STRESSES, 2002, 25 (07) :603-625

[9] Thermal buckling of functionally graded plates [J].

Javaheri, R ;

Eslami, MR .

AIAA JOURNAL, 2002, 40 (01) :162-169

[10]

LI SR, 1996, MECH PRACTICE, V18, P24

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